Will the ClubSport Steering Wheel Formula V2.5 with the QR2 Wheel Side, work the Gran Turismo DD Pro

Hi,
I have a Fanatec Gran Turismo® DD Pro (5 Nm) and am looking at buying the ClubSport Steering Wheel Formula V2.5 with the free QR2 Wheel-Side.
Will I need to buy the QR2 base side upgrade as it looks like my base and wheel has the QR1 and not QR2.
QR2 Base Side: https://fanatec.com/eu-en/accessories/steering-wheel-accessories/qr2-base-side-c ?
Here a link to the wheel I got: https://fanatec.com/eu-en/racing-wheels-direct-drive-bases/racing-wheels/gran-turismo-dd-pro-5-nm
Thanks
Post update to make it more clearer
Comments
yes that wheel will work w DD Pro for PC & PS - for xbox you need the 2.5X version
yes you do need the QR2 base side to use the QR2 wheel side. Note if you have the GT Pro wheel that will need a QR2 upgrade as well if its still QR1
Thanks for reply
I will get the QR2 wheel side at a later date for the GT Pro Wheel
As I will be using the new Wheel 99.9% of the time, it be very rare if I use the GT Pro Wheel.